Welcome to Juhun Baik's Homepage :)
Welcome to Juhun Baik's Homepage :)
Embedded Files
Hello, I am Juhun Baik and I am a 6th year graduate student in KAIST, South Korea, under supervision of professor Harry Hyungryul Baik .
I expect to graduate in the fall of 2025. I am currently looking for a postdoctoral position that will start in the fall of 2025 or later.
I finish my B.S in Mathematics and Computer Science, double major at SungKyunKwan University in Suwon, South Korea.
Contact : jhbaik(at)kaist[dot]ac[dot]kr
This is my CV (last update :10 Oct, 2024)
My research interests is based on low dimensional topology. More precisely, I am really interested in infinite type surfaces and its mapping class groups, so called Big mapping class groups. I am also fond of the objects and figures from complex dynamics, especially the Cantor set that arises naturally in the complex dynamics.
One aspect of my research interests is to study mapping classes induced from the complex dynamical system, such that as the parameter varies, the invariant set (usually a Cantor set) varies and produce a braid of uncountably many strands.
Here is my publication list including the short description of the motivation and results of each article.
[Preprints]
(20 Sep, 24) Topological normal generation of big mapping class groups, ArXiv, Submitted
(07 May, 23) Monodromy through the bifurcation locus of the Mandelbrot set I : narrow cases (with H.Baik), ArXiv, Submitted
[Publication]
Thurston unit ball of a family of $n$-chained links and their fibered face (with P. Tranchida), ArXiv, To appear Osaka Journal of Mathematics. (accepted on 04 Jun, 2024 )
Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori (with H. Baik, C. Kim, P. Tranchida), Glasnik Matematicki (2022), Vol. 57(77), 291-312. (accepted on 05 Aug, 2022, published on 24 Dec, 2022) ArXiv / doi
[Teaching]
2023 Fall TA , (best TA award) Introduction to Linear Algebra / Introduction to Topological Data Analysis
2023 Spring TA, Differential Equations and Applications / Probability and Statistics
2022 Fall TA, Differential Equations and Applications
2022 Spring TA, Differential Equations and Applications / Complex Variables
2021 Fall TA, Introduction to Linear Algebra / Algebraic Topology II
2021 Spring TA, Differential Equations and Applications / Complex Variables
2020 Fall TA, (best TA award) Introduction to Linear Algebra / Combinatorial Topology
2020 Spring TA, Differential Equations and Applications / Modern Algebra I
2019 Fall TA, (best TA award) Calculus2
2019 Spring TA, (best TA award) Calculus1
Oct, 2022 KMGS in KAIST
[Invited/Contributed talks]
(upcoming) 29 Nov, 2024 : HCMC Topology seminar, KIAS.
Title: TBA
(upcoming) 22-24 Oct, 2024 : SungKyunKwan University, 2024 KMS Annual meeting
Title: Topological normal generation of big mapping class groups.
09 Sep, 2024: World of GroupCraft IV (online)
Title: Topological normal generation of big mapping class groups.
13 Aug, 2024, Dynamical Group Theory III (Lightning talk)
Title: Topological normal generation of Big MCGs.
03 Apr, 2024, Max Dehn seminar in the University of Utah
Title: Quadratic polynomials and big mapping classes
27 Sep, 2023, Korea-Chile workshop on Dynamical Group Theory
Title: Monodromy through bifurcation locus of quadratic polynomials
06 Feb, 2023, East Asian Conference on Geometric Topology
Title: Monodromy through bifurcation locus of quadratic polynomials
01 Nov, 2022, $PK^2$ topology workshop in Busan
Title: Monodromy through bifurcation locus of quadratic polynomials
06 Oct, 2022, KAIST Math Graduate Student Seminar (Fall)
Title: Shift locus of cubic polynomials
30 May, 2022, $PK^2$ topology workshop in Jeju island
Title: Shape of Thurston Ball
07 Apr, 2022, KAIST Math Graduate Student Seminar (Spring)
Title: Mapping class groups and topological entropy
18 Jan, 2022, East Asian Conference on Geometric Topology
Title: Topological entropy of pseudo-Anosov maps on punctured surfaces vs. homology of mapping tori
[Awards]
(27 Oct, '23) 2023 Korea Mathematical Society annual meeting, Best poster award (Monodromy through bifurcation locus of the Mandelbrot set, pdf)
(28 Apr, '23) 2023 Korea Mathematical Society spring meeting, Best poster award (Thurston unit ball of a family of n-chained links and their fibered face, pdf)
Best TA awards :
2023 Fall TA, introduction to Linear Algebra / Introduction to Topological Data Analysis
2020 Fall TA, Introduction to Linear Algebra
2019 Fall TA, Calculus2
2019 Spring TA, Calculus1
[Miscellanies]
I love to do sport climbing!!
Page updated
Google Sites
Report abuse